If she is found not guilty due to lack of criminal responsibility, the court would begin the process of committing Clancy to a state psychiatric facility. Her commitment order would be subject to regular review by the court, though she could be committed to the facility indefinitely. If she is deemed no longer mentally ill and not a danger to the community, she could be released following a hearing.

Literally the first article that came up about it: https://abcnews.com/news/story/lindsay-clancy-trial-guilty-lack-responsibility/?id=136187449